Conway groups

E29418
family of sporadic simple groups finite group finite simple group lattice in 24-dimensional Euclidean space mathematical concept mathematician sporadic simple group

Conway groups are a set of three closely related sporadic simple groups discovered by John H. Conway in the study of symmetries of the Leech lattice in group theory.

Try in SPARQL Jump to: Surface forms Statements Referenced by

All labels observed (7)

Label Occurrences
Conway group Co1 4
Conway groups canonical 4
automorphism group of the Leech lattice 4

Statements (48)

Predicate Object
instanceOf family of sporadic simple groups ⓘ
finite group ⓘ
finite simple group ⓘ
finite simple group ⓘ
finite simple group ⓘ
lattice in 24-dimensional Euclidean space ⓘ
mathematical concept ⓘ
mathematician ⓘ
sporadic simple group ⓘ
sporadic simple group ⓘ
sporadic simple group ⓘ
classification part of the 26 sporadic simple groups ⓘ
consistOf Co1 ⓘ
Co2 ⓘ
Co3 ⓘ
containsSubgroup Conway groups self-linksurface differs ⓘ
surface form: Conway group Co1

Conway groups self-linksurface differs ⓘ
surface form: Conway group Co2

Conway groups self-linksurface differs ⓘ
surface form: Conway group Co3
definedOver finite sets ⓘ
dimension 24 ⓘ
discoveredBy John H. Conway ⓘ
surface form: John Horton Conway
discoveryContext study of symmetries of the Leech lattice ⓘ
field group theory ⓘ
group theory ⓘ
hasAutomorphismGroup Conway groups self-linksurface differs ⓘ
surface form: automorphism group of the Leech lattice
hasCardinality 3 ⓘ
hasMember Conway groups self-linksurface differs ⓘ
surface form: Conway group Co1

Conway groups self-linksurface differs ⓘ
surface form: Conway group Co2

Conway groups self-linksurface differs ⓘ
surface form: Conway group Co3
hasProperty centerless ⓘ
finite simple groups ⓘ
non-abelian ⓘ
non-abelian ⓘ
non-abelian ⓘ
non-abelian simple groups ⓘ
isSubgroupOf Conway groups self-linksurface differs ⓘ
surface form: automorphism group of the Leech lattice

Conway groups self-linksurface differs ⓘ
surface form: automorphism group of the Leech lattice

automorphism group of the Leech lattice ⓘ
isSubsetOf sporadic simple groups ⓘ
knownFor discovery of Conway groups ⓘ
namedAfter John H. Conway ⓘ
surface form: John Horton Conway
order 4157776806543360000 ⓘ
42305421312000 ⓘ
495766656000 ⓘ
relatedTo Leech lattice ⓘ
Monster group ⓘ
Conway groups self-linksurface differs ⓘ
surface form: automorphism group of the Leech lattice
yearDiscoveredApprox 1960s ⓘ

How these facts were elicited

The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.

Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10.

# Requirements
- If you don't know the subject at all, return an empty list.
- If the subject is not a named entity, return an empty list.
- Include at least one triple where predicate is "instanceOf".
- Do not get too wordy.
- Separate several objects into multiple triples with one object.
Input
Subject: Conway groups
Description of subject: Conway groups are a set of three closely related sporadic simple groups discovered by John H. Conway in the study of symmetries of the Leech lattice in group theory.

Referenced by (21)

Full triples — surface form annotated when it differs from this entity's canonical label.

John H. Conway → notableWork → Conway groups ⓘ
Horton → notableWork → Conway groups ⓘ
subject surface form: John Horton Conway
this entity surface form: Conway group
Conway groups → relatedTo → Conway groups self-linksurface differs ⓘ
this entity surface form: automorphism group of the Leech lattice
Conway groups → hasMember → Conway groups self-linksurface differs ⓘ
this entity surface form: Conway group Co1
Conway groups → hasMember → Conway groups self-linksurface differs ⓘ
this entity surface form: Conway group Co2
Conway groups → hasMember → Conway groups self-linksurface differs ⓘ
this entity surface form: Conway group Co3
Conway groups → isSubgroupOf → Conway groups self-linksurface differs ⓘ
subject surface form: Conway group Co1
this entity surface form: automorphism group of the Leech lattice
Conway groups → isSubgroupOf → Conway groups self-linksurface differs ⓘ
subject surface form: Conway group Co2
this entity surface form: automorphism group of the Leech lattice
Conway groups → containsSubgroup → Conway groups self-linksurface differs ⓘ
subject surface form: automorphism group of the Leech lattice
this entity surface form: Conway group Co1
Conway groups → containsSubgroup → Conway groups self-linksurface differs ⓘ
subject surface form: automorphism group of the Leech lattice
this entity surface form: Conway group Co2
Conway groups → containsSubgroup → Conway groups self-linksurface differs ⓘ
subject surface form: automorphism group of the Leech lattice
this entity surface form: Conway group Co3
Conway groups → hasAutomorphismGroup → Conway groups self-linksurface differs ⓘ
subject surface form: Leech lattice
this entity surface form: automorphism group of the Leech lattice
Monster group construction (with collaborators) → relatedTo → Conway groups ⓘ
John → notableWork → Conway groups ⓘ
subject surface form: John H. Conway
John → hasConcept → Conway groups ⓘ
subject surface form: John H. Conway
this entity surface form: Conway group
Co1 → isSubgroupOf → Conway groups ⓘ
this entity surface form: Conway group Co0
Leech lattice → automorphismGroup → Conway groups ⓘ
this entity surface form: Conway group Co0
Leech lattice → automorphismGroup → Conway groups ⓘ
this entity surface form: Conway group Co1
Leech lattice → automorphismGroup → Conway groups ⓘ
this entity surface form: Conway group Co3
Leech lattice → relatedTo → Conway groups ⓘ
Monster group → hasSubgroup → Conway groups ⓘ
this entity surface form: Conway group Co1